Answer :
Final answer:
To find the cost of constructing the fence, calculate the perimeter for the erection cost and the square footage for the material cost. The cost of erecting the fence is $662.50 and the material cost is $2824.90, totaling $3487.40.
Explanation:
To calculate the cost of constructing a fence around a lot measuring 90 feet by 175 feet, we need to determine both the linear footage for the erection cost and the square footage for the material cost.
First, calculate the perimeter of the lot. This is the linear footage:
- Perimeter = 2 × (length + width) = 2 × (90 + 175) = 2 × 265 = 530 feet
Now, compute the cost of erecting the fence at $1.25 per linear foot:
- Cost of erection = Perimeter × erection cost/foot = 530 × $1.25 = $662.50
Next, calculate the square footage of the fence:
- Fence height in feet = 6 feet 6 inches = 6.5 feet
Square footage = Perimeter × height = 530 × 6.5 = 3445 square feet
Then, calculate the material cost at $0.82 per square foot:
- Material cost = Square footage × material cost/square foot = 3445 × $0.82 = $2824.90
Finally, add the erection and material costs to find the total cost:
- Total cost = Cost of erection + Material cost = $662.50 + $2824.90 = $3487.40
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